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Age of Seetha is 5 and the age of Geetha is 10
Step-by-step explanation:
Let the age of Seetha be x and let the age of Geetha be y
The age of Geetha added to nine times age of Seetha gives 55
9x + y = 55
y = 55 - 9x --- ( 1 )
Six times the age of Geetha added to eleven times the age of Seetha gives 115
11x + 6y = 115
Substitute eq( 1 ) in the above equation
11x + 6( 55 - 9x ) = 115
11x + 330 - 54x = 115
- 43x + 330 = 115
330 - 115 = 43x
215 = 43x
215/43 = x
x = 5
So, y = 55 - 9( 5 ) = 55 - 45 = 10
Therefore the age of Seetha is 5 and the age of Geetha is 10
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